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David P. Blecher , Mehrdad Kalantar ·

YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2305.05558 · OA: W4376123130

Given a finite group G, a central subgroup H of G, and an operator space X equipped with an action of H by complete isometries, we construct an operator space $X_G$ equipped with an action of G which is unique under a `reasonable' condition. This generalizes the operator space complexification $X_c$ of $X$. As a linear space $X_G$ is the space obtained from inducing the representation of H to G (in the sense of Frobenius).